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Finding the Fourth Proportional to 112.62, 167.75 and 111.22

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Solution

The fourth proportional to 112.62, 167.75 and 111.22 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.62 : 167.75 = 111.22 : x
  2. Step 2: Convert to fraction form
    112.62/167.75 = 111.22/x
  3. Step 3: Cross multiply
    112.62x = 167.75 × 111.22
  4. Step 4: Simplify right side
    112.62x = 18,657.16
  5. Step 5: Solve for x
    x = 18,657.16/112.62
  6. Step 6: Final answer
    x = 165.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.